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Finding the Fourth Proportional to 31,759.68, 47,639.16 and 10,982.88

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Solution

The fourth proportional to 31,759.68, 47,639.16 and 10,982.88 is: 16,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.68 : 47,639.16 = 10,982.88 : x
  2. Step 2: Convert to fraction form
    31,759.68/47,639.16 = 10,982.88/x
  3. Step 3: Cross multiply
    31,759.68x = 47,639.16 × 10,982.88
  4. Step 4: Simplify right side
    31,759.68x = 523,215,177.58
  5. Step 5: Solve for x
    x = 523,215,177.58/31,759.68
  6. Step 6: Final answer
    x = 16,474.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.